{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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sfXpb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\nphy+Op7fwL/jxx5Kfzf+uLH2p/xfT/HH/9k=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image \n",
    "Image('../../../python_for_probability_statistics_and_machine_learning.jpg')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Python for Probability, Statistics, and Machine Learning](https://www.springer.com/fr/book/9783319307152)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "from __future__ import division\n",
    "%pylab  inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Monte Carlo Sampling Methods\n",
    "\n",
    "So far, we have studied analytical ways to transform random variables and how\n",
    "to augment these methods using Python. In spite of all this, we frequently must\n",
    "resort to purely numerical methods to solve real-world problems.  Hopefully,\n",
    "now that we have seen the deeper theory, these numerical methods feel more\n",
    "concrete.  Suppose we want to generate samples of a given density, $f(x)$,\n",
    "given we already can generate samples from a uniform distribution,\n",
    "$\\mathcal{U}[0,1]$.  How do we know a random sample $v$ comes from the $f(x)$\n",
    "distribution?  One approach is to look at how a histogram of samples of $v$\n",
    "approximates $f(x)$. Specifically,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- Equation labels as ordinary links -->\n",
    "<div id=\"eq:mc01\"></div>\n",
    "\n",
    "$$\n",
    "\\begin{equation}\n",
    "\\mathbb{P}( v \\in N_{\\Delta}(x) )  = f(x) \\Delta x \n",
    "\\end{equation}\n",
    "\\label{eq:mc01} \\tag{1}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_000.png, width=500 frac=0.75] The histogram approximates the target probability density. <div id=\"fig:Sampling_Monte_Carlo_000\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_000\"></div>\n",
    "\n",
    "<p>The histogram approximates the target probability density.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_000.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    " which says that the probability that a sample is in some $N_\\Delta$\n",
    "neighborhood of $x$ is approximately $f(x)\\Delta x$. [Figure](#fig:Sampling_Monte_Carlo_000) shows the target probability density function\n",
    "$f(x)$ and a histogram that approximates it. The histogram is generated from\n",
    "samples $v$. The hatched rectangle in the center illustrates Equation\n",
    "ref{eq:mc01}. The area of this rectangle is approximately $f(x)\\Delta x$ where\n",
    "$x=0$, in this case. The width of the rectangle is $N_{\\Delta}(x)$ The quality\n",
    "of the approximation may be clear visually, but to know that $v$ samples are\n",
    "characterized by $f(x)$, we need the statement of Equation ref{eq:mc01}, which\n",
    "says that the proportion of samples $v$  that fill the hatched rectangle is\n",
    "approximately equal to $f(x)\\Delta x$.\n",
    "\n",
    "Now that we know how to evaluate samples $v$ that are characterized by the density\n",
    "$f(x)$, let's consider how to create these samples for both discrete and\n",
    "continuous random variables.\n",
    "\n",
    "## Inverse CDF Method for Discrete Variables\n",
    "\n",
    "Suppose we want to generate samples from a fair six-sided die.  Our workhouse\n",
    "uniform random variable is defined continuously over the unit interval  and the\n",
    "fair six-sided die is discrete. We must first create a mapping between the\n",
    "continuous random variable $u$ and the discrete outcomes of the die. This\n",
    "mapping is shown in [Figure](#fig:Sampling_Monte_Carlo_0001) where the unit\n",
    "interval is broken up into segments, each of length $1/6$. Each individual\n",
    "segment is assigned to one of the die outcomes. For example, if $u \\in\n",
    "[1/6,2/6)$, then the outcome for the die is $2$. Because the die is fair, all\n",
    "segments on the unit interval are the same length. Thus, our new random\n",
    "variable $v$ is derived from $u$ by this assignment.\n",
    "\n",
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_0001.png, width=500 frac=0.75] A uniform distribution random variable on the unit interval is assigned to the six outcomes of a fair die using these segements. <div id=\"fig:Sampling_Monte_Carlo_0001\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_0001\"></div>\n",
    "\n",
    "<p>A uniform distribution random variable on the unit interval is assigned to the six outcomes of a fair die using these segements.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_0001.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "For example, for $v=2$, we have,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathbb{P}(v=2) = \\mathbb{P}(u\\in [1/6,2/6)) = 1/6\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " where, in the language of the Equation ref{eq:mc01}, $f(x)=1$\n",
    "(uniform distribution), $\\Delta x = 1/6$, and $N_\\Delta (2)=[1/6,2/6)$.\n",
    "Naturally, this pattern holds for all the other die outcomes in\n",
    "$\\left\\{1,2,3,..,6\\right\\}$.  Let's consider a quick simulation to make this\n",
    "concrete. The following code generates uniform random samples and stacks them\n",
    "in a Pandas dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from pandas import DataFrame\n",
    "u= np.random.rand(100)\n",
    "df = DataFrame(data=u,columns=['u'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " The next block uses `pd.cut` to map the individual samples to\n",
    "the set $\\left\\{1,2,\\ldots,6\\right\\}$ labeled `v`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "labels = [1,2,3,4,5,6]\n",
    "df['v']=pd.cut(df.u,np.linspace(0,1,7),\n",
    "               include_lowest=True,labels=labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " This is what the dataframe contains. The `v` column contains\n",
    "the samples drawn from the fair die."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>u</th>\n",
       "      <th>v</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.605368</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.525941</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.141985</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.729510</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.240505</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          u  v\n",
       "0  0.605368  4\n",
       "1  0.525941  4\n",
       "2  0.141985  1\n",
       "3  0.729510  5\n",
       "4  0.240505  2"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    ">>> df.head()\n",
    "          "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " The following is a count of the number of samples in each group. There\n",
    "should be roughly the same number of samples in each group because the die is fair."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>u</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>v</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    u\n",
       "v    \n",
       "1  19\n",
       "2  15\n",
       "3  15\n",
       "4  16\n",
       "5  23\n",
       "6  12"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    ">>> df.groupby('v').count()\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " So far, so good. We now have a way to simulate a fair\n",
    "die from a uniformly distributed random variable.\n",
    "\n",
    "To extend this to unfair die, we need only make some small adjustments to this\n",
    "code.  For example, suppose that we want an unfair die so that\n",
    "$\\mathbb{P}(1)=\\mathbb{P}(2)=\\mathbb{P}(3)=1/12$ and\n",
    "$\\mathbb{P}(4)=\\mathbb{P}(5)=\\mathbb{P}(6)=1/4$. The only change we have to\n",
    "make is with `pd.cut` as follows,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df['v']=pd.cut(df.u,[0,1/12,2/12,3/12,2/4,3/4,1],\n",
    "               include_lowest=True,labels=labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>u</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>v</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.19</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      u\n",
       "v      \n",
       "1  0.05\n",
       "2  0.14\n",
       "3  0.07\n",
       "4  0.23\n",
       "5  0.32\n",
       "6  0.19"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    ">>> df.groupby('v').count()/df.shape[0]\n",
    "      "
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "u\n",
    "v      \n",
    "1  0.08\n",
    "2  0.10\n",
    "3  0.09\n",
    "4  0.23\n",
    "5  0.19\n",
    "6  0.31"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " where now these are the individual probabilities of each digit. You\n",
    "can take more than `100` samples to get a clearer view of the individual\n",
    "probabilities but the mechanism for generating them is the same. The method is\n",
    "called the inverse CDF [^CDF] method because the CDF\n",
    "(namely,$\\texttt{[0,1/12,2/12,3/12,2/4,3/4,1]}$) in the last example has been\n",
    "inverted (using the `pd.cut` method) to generate the samples.  \n",
    "The inversion is easier to see for continuous variables, which we consider\n",
    "next.\n",
    "\n",
    "[^CDF]: Cumulative density function. Namely, $F(x)=\\mathbb{P}(X < x)$.\n",
    "\n",
    "\n",
    "## Inverse CDF Method for Continuous Variables\n",
    "\n",
    "The method above applies to continuous random variables, but now we have to use\n",
    "squeeze the  intervals down to individual points. In the example above, our\n",
    "inverse function was a piecewise function that operated on uniform random\n",
    "samples. In this case, the piecewise function collapses to a continuous inverse\n",
    "function.  We want to generate random samples for a CDF that is invertible.\n",
    "As before, the criterion for generating an appropriate sample $v$ is the\n",
    "following,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathbb{P}(F(x) < v < F(x+\\Delta x)) =  F(x+\\Delta x) - F(x) = \\int_x^{x+\\Delta x} f(u) du \\approx  f(x) \\Delta x\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " which is saying that the probability that the sample $v$ is contained\n",
    "in a $\\Delta x$ interval is approximately equal to the density function, $f(x)\n",
    "\\Delta x$, at that point. Once again, the trick is to use a uniform random\n",
    "sample $u$ and an invertible CDF $F(x)$ to construct these samples.  Note\n",
    "that for a uniform random variable $u \\sim \\mathcal{U}[0,1]$, we have,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{align*}\n",
    "\\mathbb{P}(x < F^{-1}(u) < x+\\Delta x) & = \\mathbb{P}(F(x) < u < F(x+\\Delta x)) \\\\\\\n",
    "                                       & =  F(x+\\Delta x) - F(x) \\\\\\\n",
    "                                       & = \\int_x^{x+\\Delta x} f(p) dp \\approx  f(x) \\Delta x\n",
    "\\end{align*}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " This means that $ v=F^{-1}(u) $ is distributed according to $f(x)$,\n",
    "which is what we want.  \n",
    "\n",
    "Let's try this to generate samples from the\n",
    "exponential distribution,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "f_{\\alpha}(x) = \\alpha e^{ -\\alpha x }\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " which has the following CDF,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "F(x) = 1-e^{ -\\alpha x  }\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " and corresponding inverse,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "F^{-1}(u)  = \\frac{1}{\\alpha}\\ln \\frac{1}{(1-u)}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Now, all we have to do is generate some uniformly distributed\n",
    "random samples and then feed them into $F^{-1}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from numpy import array, log\n",
    "import scipy.stats\n",
    "alpha = 1.   # distribution parameter\n",
    "nsamp = 1000 # num of samples\n",
    "# define uniform random variable\n",
    "u=scipy.stats.uniform(0,1)\n",
    "# define inverse function\n",
    "Finv=lambda u: 1/alpha*log(1/(1-u))\n",
    "# apply inverse function to samples\n",
    "v = array(map(Finv,u.rvs(nsamp)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Now, we have the samples from the exponential distribution, but how\n",
    "do we know the method is correct with samples distributed accordingly?\n",
    "Fortunately, `scipy.stats` already has a exponential distribution, so we can\n",
    "check our work against the reference using a *probability plot* (i.e.,  also\n",
    "known as a *quantile-quantile* plot).  The following code sets up the\n",
    "probability plot from `scipy.stats`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Q0tLCli1b2LdvH6tXrw5K4MnJyTzwwAM8+eSTlk7gdvz8Wtk5tlB0+UpcKTUE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\nsjJSU1Pp27cv8fHxZGVlMX78eGbPni0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mvwE/8jimKqWqb6lqV1XtC+TiHBRW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc188eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "from matplotlib.pylab import setp, subplots\n",
    "fig,ax = subplots()\n",
    "fig.set_size_inches((7,5))\n",
    "_=scipy.stats.probplot(v,(1,),dist='expon',plot=ax)\n",
    "line=ax.get_lines()[0]\n",
    "_=setp(line,'color','k')\n",
    "_=setp(line,'alpha',.1)\n",
    "line=ax.get_lines()[1]\n",
    "_=setp(line,'color','gray')\n",
    "_=setp(line,'lw',3.0)\n",
    "_=setp(ax.yaxis.get_label(),'fontsize',18)\n",
    "_=setp(ax.xaxis.get_label(),'fontsize',18)\n",
    "_=ax.set_title('Probability Plot',fontsize=18)\n",
    "_=ax.grid()\n",
    "fig.tight_layout()\n",
    "#fig.savefig('fig-probability/Sampling_Monte_Carlo_005.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((array([ 1.00069315,  1.0016833 ,  1.00268512,  1.00368795,  1.00469178,\n",
       "          1.00569662,  1.00670247,  1.00770934,  1.00871722,  1.00972611,\n",
       "          1.01073603,  1.01174696,  1.01275892,  1.01377191,  1.01478592,\n",
       "          1.01580096,  1.01681703,  1.01783414,  1.01885228,  1.01987145,\n",
       "          1.02089167,  1.02191293,  1.02293524,  1.02395859,  1.02498299,\n",
       "          1.02600844,  1.02703494,  1.02806249,  1.02909111,  1.03012078,\n",
       "          1.03115151,  1.03218331,  1.03321617,  1.03425011,  1.03528511,\n",
       "          1.03632118,  1.03735833,  1.03839655,  1.03943586,  1.04047624,\n",
       "          1.04151771,  1.04256027,  1.04360391,  1.04464864,  1.04569447,\n",
       "          1.04674139,  1.04778941,  1.04883852,  1.04988874,  1.05094006,\n",
       "          1.05199249,  1.05304603,  1.05410068,  1.05515644,  1.05621332,\n",
       "          1.05727132,  1.05833044,  1.05939068,  1.06045204,  1.06151454,\n",
       "          1.06257816,  1.06364292,  1.06470881,  1.06577583,  1.066844  ,\n",
       "          1.06791331,  1.06898377,  1.07005537,  1.07112812,  1.07220202,\n",
       "          1.07327708,  1.0743533 ,  1.07543067,  1.07650921,  1.07758891,\n",
       "          1.07866978,  1.07975181,  1.08083502,  1.08191941,  1.08300497,\n",
       "          1.08409171,  1.08517963,  1.08626874,  1.08735904,  1.08845052,\n",
       "          1.0895432 ,  1.09063708,  1.09173215,  1.09282842,  1.09392589,\n",
       "          1.09502457,  1.09612446,  1.09722556,  1.09832788,  1.09943141,\n",
       "          1.10053616,  1.10164213,  1.10274933,  1.10385775,  1.1049674 ,\n",
       "          1.10607829,  1.10719041,  1.10830377,  1.10941837,  1.11053421,\n",
       "          1.11165131,  1.11276965,  1.11388924,  1.11501008,  1.11613219,\n",
       "          1.11725555,  1.11838018,  1.11950608,  1.12063324,  1.12176168,\n",
       "          1.12289139,  1.12402238,  1.12515465,  1.1262882 ,  1.12742304,\n",
       "          1.12855917,  1.12969659,  1.1308353 ,  1.13197532,  1.13311663,\n",
       "          1.13425925,  1.13540318,  1.13654841,  1.13769496,  1.13884283,\n",
       "          1.13999201,  1.14114252,  1.14229435,  1.14344751,  1.144602  ,\n",
       "          1.14575782,  1.14691499,  1.14807349,  1.14923334,  1.15039453,\n",
       "          1.15155708,  1.15272097,  1.15388623,  1.15505284,  1.15622082,\n",
       "          1.15739016,  1.15856087,  1.15973295,  1.16090641,  1.16208124,\n",
       "          1.16325746,  1.16443507,  1.16561406,  1.16679444,  1.16797622,\n",
       "          1.1691594 ,  1.17034397,  1.17152996,  1.17271735,  1.17390615,\n",
       "          1.17509637,  1.176288  ,  1.17748106,  1.17867554,  1.17987146,\n",
       "          1.1810688 ,  1.18226758,  1.1834678 ,  1.18466945,  1.18587256,\n",
       "          1.18707711,  1.18828312,  1.18949059,  1.19069951,  1.1919099 ,\n",
       "          1.19312175,  1.19433507,  1.19554987,  1.19676614,  1.1979839 ,\n",
       "          1.19920314,  1.20042387,  1.20164609,  1.20286981,  1.20409503,\n",
       "          1.20532175,  1.20654997,  1.20777971,  1.20901096,  1.21024373,\n",
       "          1.21147802,  1.21271383,  1.21395118,  1.21519005,  1.21643047,\n",
       "          1.21767242,  1.21891592,  1.22016097,  1.22140757,  1.22265572,\n",
       "          1.22390544,  1.22515672,  1.22640956,  1.22766398,  1.22891998,\n",
       "          1.23017755,  1.23143671,  1.23269745,  1.23395978,  1.23522372,\n",
       "          1.23648925,  1.23775638,  1.23902512,  1.24029548,  1.24156745,\n",
       "          1.24284104,  1.24411625,  1.24539309,  1.24667156,  1.24795168,\n",
       "          1.24923343,  1.25051682,  1.25180187,  1.25308857,  1.25437693,\n",
       "          1.25566694,  1.25695863,  1.25825199,  1.25954702,  1.26084373,\n",
       "          1.26214212,  1.2634422 ,  1.26474398,  1.26604745,  1.26735262,\n",
       "          1.2686595 ,  1.26996809,  1.27127839,  1.27259041,  1.27390416,\n",
       "          1.27521963,  1.27653684,  1.27785578,  1.27917647,  1.2804989 ,\n",
       "          1.28182308,  1.28314902,  1.28447672,  1.28580619,  1.28713742,\n",
       "          1.28847043,  1.28980522,  1.29114179,  1.29248015,  1.29382031,\n",
       "          1.29516226,  1.29650602,  1.29785158,  1.29919896,  1.30054815,\n",
       "          1.30189917,  1.30325202,  1.3046067 ,  1.30596321,  1.30732157,\n",
       "          1.30868178,  1.31004384,  1.31140776,  1.31277354,  1.31414118,\n",
       "          1.3155107 ,  1.3168821 ,  1.31825539,  1.31963056,  1.32100762,\n",
       "          1.32238658,  1.32376745,  1.32515023,  1.32653492,  1.32792153,\n",
       "          1.32931007,  1.33070054,  1.33209294,  1.33348729,  1.33488358,\n",
       "          1.33628182,  1.33768203,  1.33908419,  1.34048833,  1.34189444,\n",
       "          1.34330253,  1.3447126 ,  1.34612467,  1.34753873,  1.34895479,\n",
       "          1.35037287,  1.35179295,  1.35321506,  1.35463919,  1.35606535,\n",
       "          1.35749355,  1.35892379,  1.36035608,  1.36179043,  1.36322683,\n",
       "          1.36466531,  1.36610585,  1.36754847,  1.36899318,  1.37043997,\n",
       "          1.37188887,  1.37333986,  1.37479296,  1.37624818,  1.37770552,\n",
       "          1.37916499,  1.38062658,  1.38209032,  1.38355621,  1.38502424,\n",
       "          1.38649444,  1.38796679,  1.38944132,  1.39091803,  1.39239692,\n",
       "          1.393878  ,  1.39536128,  1.39684676,  1.39833445,  1.39982436,\n",
       "          1.40131649,  1.40281085,  1.40430745,  1.40580629,  1.40730738,\n",
       "          1.40881073,  1.41031634,  1.41182422,  1.41333438,  1.41484682,\n",
       "          1.41636155,  1.41787858,  1.41939792,  1.42091957,  1.42244353,\n",
       "          1.42396983,  1.42549845,  1.42702942,  1.42856273,  1.4300984 ,\n",
       "          1.43163643,  1.43317683,  1.43471961,  1.43626476,  1.43781232,\n",
       "          1.43936226,  1.44091462,  1.44246939,  1.44402658,  1.4455862 ,\n",
       "          1.44714825,  1.44871275,  1.4502797 ,  1.45184911,  1.45342099,\n",
       "          1.45499534,  1.45657217,  1.4581515 ,  1.45973332,  1.46131765,\n",
       "          1.46290449,  1.46449385,  1.46608575,  1.46768018,  1.46927716,\n",
       "          1.47087669,  1.47247879,  1.47408345,  1.4756907 ,  1.47730053,\n",
       "          1.47891296,  1.480528  ,  1.48214564,  1.48376591,  1.4853888 ,\n",
       "          1.48701434,  1.48864252,  1.49027336,  1.49190686,  1.49354303,\n",
       "          1.49518188,  1.49682343,  1.49846767,  1.50011462,  1.50176429,\n",
       "          1.50341669,  1.50507181,  1.50672969,  1.50839031,  1.5100537 ,\n",
       "          1.51171986,  1.5133888 ,  1.51506054,  1.51673507,  1.51841241,\n",
       "          1.52009256,  1.52177555,  1.52346137,  1.52515004,  1.52684156,\n",
       "          1.52853596,  1.53023322,  1.53193338,  1.53363642,  1.53534238,\n",
       "          1.53705125,  1.53876304,  1.54047777,  1.54219545,  1.54391608,\n",
       "          1.54563967,  1.54736624,  1.5490958 ,  1.55082836,  1.55256392,\n",
       "          1.5543025 ,  1.5560441 ,  1.55778875,  1.55953645,  1.5612872 ,\n",
       "          1.56304102,  1.56479793,  1.56655793,  1.56832103,  1.57008725,\n",
       "          1.57185659,  1.57362906,  1.57540469,  1.57718347,  1.57896542,\n",
       "          1.58075055,  1.58253888,  1.58433041,  1.58612515,  1.58792312,\n",
       "          1.58972433,  1.59152879,  1.59333652,  1.59514751,  1.59696179,\n",
       "          1.59877937,  1.60060026,  1.60242447,  1.60425202,  1.60608291,\n",
       "          1.60791716,  1.60975478,  1.61159578,  1.61344018,  1.61528798,\n",
       "          1.61713921,  1.61899387,  1.62085198,  1.62271354,  1.62457858,\n",
       "          1.6264471 ,  1.62831912,  1.63019465,  1.63207371,  1.6339563 ,\n",
       "          1.63584244,  1.63773215,  1.63962544,  1.64152231,  1.64342279,\n",
       "          1.64532689,  1.64723463,  1.64914601,  1.65106105,  1.65297976,\n",
       "          1.65490216,  1.65682827,  1.65875809,  1.66069165,  1.66262895,\n",
       "          1.66457001,  1.66651484,  1.66846347,  1.6704159 ,  1.67237215,\n",
       "          1.67433223,  1.67629616,  1.67826396,  1.68023564,  1.68221121,\n",
       "          1.68419069,  1.6861741 ,  1.68816145,  1.69015276,  1.69214804,\n",
       "          1.69414732,  1.69615059,  1.69815789,  1.70016922,  1.70218461,\n",
       "          1.70420407,  1.70622761,  1.70825526,  1.71028703,  1.71232293,\n",
       "          1.71436299,  1.71640722,  1.71845563,  1.72050825,  1.72256509,\n",
       "          1.72462617,  1.72669151,  1.72876112,  1.73083503,  1.73291324,\n",
       "          1.73499579,  1.73708267,  1.73917393,  1.74126956,  1.7433696 ,\n",
       "          1.74547405,  1.74758295,  1.7496963 ,  1.75181412,  1.75393644,\n",
       "          1.75606328,  1.75819465,  1.76033057,  1.76247106,  1.76461614,\n",
       "          1.76676584,  1.76892016,  1.77107914,  1.77324279,  1.77541113,\n",
       "          1.77758418,  1.77976196,  1.7819445 ,  1.78413181,  1.78632392,\n",
       "          1.78852084,  1.7907226 ,  1.79292922,  1.79514071,  1.79735711,\n",
       "          1.79957843,  1.8018047 ,  1.80403594,  1.80627216,  1.8085134 ,\n",
       "          1.81075967,  1.813011  ,  1.8152674 ,  1.81752891,  1.81979555,\n",
       "          1.82206734,  1.8243443 ,  1.82662645,  1.82891383,  1.83120645,\n",
       "          1.83350433,  1.83580751,  1.83811601,  1.84042985,  1.84274905,\n",
       "          1.84507365,  1.84740366,  1.84973911,  1.85208004,  1.85442645,\n",
       "          1.85677838,  1.85913586,  1.86149891,  1.86386755,  1.86624182,\n",
       "          1.86862174,  1.87100734,  1.87339864,  1.87579567,  1.87819846,\n",
       "          1.88060705,  1.88302144,  1.88544168,  1.88786779,  1.8902998 ,\n",
       "          1.89273774,  1.89518164,  1.89763153,  1.90008743,  1.90254938,\n",
       "          1.9050174 ,  1.90749153,  1.9099718 ,  1.91245824,  1.91495087,\n",
       "          1.91744973,  1.91995485,  1.92246626,  1.924984  ,  1.92750809,\n",
       "          1.93003857,  1.93257547,  1.93511882,  1.93766865,  1.940225  ,\n",
       "          1.94278791,  1.9453574 ,  1.94793351,  1.95051627,  1.95310572,\n",
       "          1.95570189,  1.95830482,  1.96091455,  1.9635311 ,  1.96615452,\n",
       "          1.96878484,  1.97142209,  1.97406632,  1.97671755,  1.97937584,\n",
       "          1.98204121,  1.98471371,  1.98739336,  1.99008022,  1.99277431,\n",
       "          1.99547568,  1.99818437,  2.00090042,  2.00362386,  2.00635474,\n",
       "          2.0090931 ,  2.01183898,  2.01459242,  2.01735346,  2.02012214,\n",
       "          2.02289851,  2.02568262,  2.02847449,  2.03127418,  2.03408173,\n",
       "          2.03689719,  2.03972059,  2.04255199,  2.04539143,  2.04823896,\n",
       "          2.05109461,  2.05395845,  2.05683051,  2.05971084,  2.06259949,\n",
       "          2.06549651,  2.06840195,  2.07131585,  2.07423827,  2.07716925,\n",
       "          2.08010885,  2.08305712,  2.08601411,  2.08897986,  2.09195444,\n",
       "          2.09493789,  2.09793027,  2.10093163,  2.10394203,  2.10696151,\n",
       "          2.10999014,  2.11302797,  2.11607506,  2.11913146,  2.12219723,\n",
       "          2.12527243,  2.12835712,  2.13145134,  2.13455518,  2.13766868,\n",
       "          2.1407919 ,  2.1439249 ,  2.14706776,  2.15022052,  2.15338325,\n",
       "          2.15655602,  2.15973888,  2.16293191,  2.16613517,  2.16934872,\n",
       "          2.17257263,  2.17580697,  2.17905181,  2.1823072 ,  2.18557323,\n",
       "          2.18884996,  2.19213746,  2.19543581,  2.19874507,  2.20206532,\n",
       "          2.20539663,  2.20873908,  2.21209273,  2.21545767,  2.21883397,\n",
       "          2.22222171,  2.22562096,  2.22903181,  2.23245433,  2.23588861,\n",
       "          2.23933472,  2.24279274,  2.24626277,  2.24974488,  2.25323916,\n",
       "          2.25674569,  2.26026456,  2.26379585,  2.26733966,  2.27089608,\n",
       "          2.27446518,  2.27804707,  2.28164184,  2.28524957,  2.28887037,\n",
       "          2.29250433,  2.29615154,  2.2998121 ,  2.30348611,  2.30717367,\n",
       "          2.31087487,  2.31458983,  2.31831864,  2.3220614 ,  2.32581823,\n",
       "          2.32958922,  2.33337448,  2.33717413,  2.34098828,  2.34481702,\n",
       "          2.34866048,  2.35251877,  2.35639201,  2.3602803 ,  2.36418377,\n",
       "          2.36810254,  2.37203673,  2.37598645,  2.37995184,  2.38393301,\n",
       "          2.3879301 ,  2.39194323,  2.39597253,  2.40001813,  2.40408016,\n",
       "          2.40815876,  2.41225406,  2.41636621,  2.42049533,  2.42464157,\n",
       "          2.42880508,  2.432986  ,  2.43718446,  2.44140063,  2.44563465,\n",
       "          2.44988668,  2.45415686,  2.45844535,  2.46275231,  2.46707791,\n",
       "          2.47142229,  2.47578563,  2.4801681 ,  2.48456985,  2.48899107,\n",
       "          2.49343192,  2.49789258,  2.50237322,  2.50687403,  2.5113952 ,\n",
       "          2.51593689,  2.52049931,  2.52508263,  2.52968706,  2.53431279,\n",
       "          2.53896002,  2.54362894,  2.54831977,  2.5530327 ,  2.55776795,\n",
       "          2.56252573,  2.56730625,  2.57210974,  2.57693641,  2.58178649,\n",
       "          2.58666021,  2.5915578 ,  2.5964795 ,  2.60142553,  2.60639616,\n",
       "          2.61139161,  2.61641214,  2.621458  ,  2.62652946,  2.63162676,\n",
       "          2.63675019,  2.64189999,  2.64707646,  2.65227985,  2.65751047,\n",
       "          2.66276859,  2.6680545 ,  2.67336851,  2.6787109 ,  2.68408199,\n",
       "          2.68948208,  2.69491149,  2.70037054,  2.70585955,  2.71137887,\n",
       "          2.71692881,  2.72250972,  2.72812196,  2.73376588,  2.73944182,\n",
       "          2.74515017,  2.75089129,  2.75666556,  2.76247337,  2.76831511,\n",
       "          2.77419117,  2.78010196,  2.7860479 ,  2.79202941,  2.79804691,\n",
       "          2.80410083,  2.81019164,  2.81631976,  2.82248568,  2.82868984,\n",
       "          2.83493274,  2.84121486,  2.84753669,  2.85389875,  2.86030154,\n",
       "          2.86674558,  2.87323143,  2.87975961,  2.88633069,  2.89294524,\n",
       "          2.89960383,  2.90630705,  2.91305551,  2.91984983,  2.92669062,\n",
       "          2.93357853,  2.94051421,  2.94749833,  2.95453157,  2.96161463,\n",
       "          2.96874822,  2.97593306,  2.9831699 ,  2.99045949,  2.99780261,\n",
       "          3.00520006,  3.01265263,  3.02016116,  3.02772649,  3.0353495 ,\n",
       "          3.04303106,  3.05077208,  3.0585735 ,  3.06643626,  3.07436133,\n",
       "          3.08234971,  3.09040241,  3.0985205 ,  3.10670502,  3.11495708,\n",
       "          3.12327781,  3.13166835,  3.14012989,  3.14866364,  3.15727084,\n",
       "          3.16595277,  3.17471074,  3.18354608,  3.19246019,  3.20145447,\n",
       "          3.21053038,  3.21968942,  3.22893313,  3.23826308,  3.2476809 ,\n",
       "          3.25718825,  3.26678687,  3.27647851,  3.286265  ,  3.29614821,\n",
       "          3.30613008,  3.31621259,  3.32639779,  3.3366878 ,  3.34708479,\n",
       "          3.35759102,  3.36820881,  3.37894054,  3.38978869,  3.40075582,\n",
       "          3.41184456,  3.42305764,  3.43439788,  3.44586819,  3.45747161,\n",
       "          3.46921124,  3.48109034,  3.49311224,  3.50528043,  3.51759851,\n",
       "          3.53007022,  3.54269945,  3.55549021,  3.56844669,  3.58157325,\n",
       "          3.59487442,  3.60835489,  3.62201957,  3.63587357,  3.64992219,\n",
       "          3.664171  ,  3.67862578,  3.69329256,  3.70817766,  3.72328768,\n",
       "          3.73862953,  3.75421041,  3.77003791,  3.78611995,  3.80246486,\n",
       "          3.81908137,  3.83597866,  3.85316638,  3.87065469,  3.8884543 ,\n",
       "          3.90657648,  3.92503315,  3.94383688,  3.96300098,  3.98253953,\n",
       "          4.00246745,  4.02280059,  4.04355576,  4.06475085,  4.08640492,\n",
       "          4.10853829,  4.13117265,  4.15433121,  4.17803884,  4.20232219,\n",
       "          4.22720993,  4.25273291,  4.27892442,  4.30582041,  4.33345984,\n",
       "          4.36188498,  4.3911418 ,  4.42128045,  4.45235573,  4.48442775,\n",
       "          4.51756257,  4.55183303,  4.58731977,  4.62411229,  4.66231039,\n",
       "          4.70202572,  4.74338383,  4.78652651,  4.83161473,  4.87883228,\n",
       "          4.9283903 ,  4.98053296,  5.03554476,  5.09375995,  5.15557477,\n",
       "          5.2214639 ,  5.29200257,  5.36789712,  5.45002822,  5.53951332,\n",
       "          5.63780008,  5.74681071,  5.8691752 ,  6.00862804,  6.17072894,\n",
       "          6.36428806,  6.60452834,  6.92137102,  7.38783943,  8.27461475]),\n",
       "  array([  3.89294857e-04,   6.24236858e-04,   4.30992140e-03,\n",
       "           4.48344632e-03,   5.84908163e-03,   6.42830333e-03,\n",
       "           7.21730168e-03,   8.20022209e-03,   8.30181182e-03,\n",
       "           8.81069144e-03,   8.88633240e-03,   9.36213092e-03,\n",
       "           9.82779700e-03,   1.03144163e-02,   1.08493453e-02,\n",
       "           1.08699727e-02,   1.40830441e-02,   1.43078889e-02,\n",
       "           1.45816625e-02,   1.46845627e-02,   1.58676253e-02,\n",
       "           1.61517259e-02,   1.92801435e-02,   1.97702226e-02,\n",
       "           2.09217119e-02,   2.31930392e-02,   2.33685226e-02,\n",
       "           2.60907457e-02,   2.61772584e-02,   2.69883347e-02,\n",
       "           2.76299354e-02,   2.82949368e-02,   2.85954708e-02,\n",
       "           2.93741924e-02,   2.95088972e-02,   3.21378974e-02,\n",
       "           3.27408612e-02,   3.28631621e-02,   3.29293471e-02,\n",
       "           3.32947938e-02,   3.39863377e-02,   3.51870805e-02,\n",
       "           3.53374474e-02,   3.60431536e-02,   3.66602325e-02,\n",
       "           3.71263533e-02,   3.85255506e-02,   3.92105300e-02,\n",
       "           4.03590545e-02,   4.19187772e-02,   4.23139987e-02,\n",
       "           4.30339340e-02,   4.40306091e-02,   4.42869971e-02,\n",
       "           4.62447787e-02,   4.77053220e-02,   4.79617349e-02,\n",
       "           4.90881167e-02,   5.00091632e-02,   5.00414603e-02,\n",
       "           5.09367790e-02,   5.24699904e-02,   5.30954172e-02,\n",
       "           5.31621812e-02,   5.86877291e-02,   5.89785180e-02,\n",
       "           6.13968587e-02,   6.14850257e-02,   6.16875855e-02,\n",
       "           6.30524983e-02,   6.39746553e-02,   6.40397073e-02,\n",
       "           6.49192644e-02,   6.72251443e-02,   6.73945305e-02,\n",
       "           6.80513810e-02,   6.99273128e-02,   7.04776747e-02,\n",
       "           7.04984172e-02,   7.11158179e-02,   7.12221227e-02,\n",
       "           7.37727116e-02,   7.44322184e-02,   7.46407088e-02,\n",
       "           7.64580826e-02,   7.65953028e-02,   7.85013045e-02,\n",
       "           7.89527116e-02,   8.07108318e-02,   8.12994440e-02,\n",
       "           8.39218341e-02,   8.49660640e-02,   8.53818624e-02,\n",
       "           8.57663556e-02,   8.61926648e-02,   8.67376667e-02,\n",
       "           8.71161450e-02,   8.84309932e-02,   8.91226041e-02,\n",
       "           8.92687901e-02,   9.31086989e-02,   9.39813351e-02,\n",
       "           9.53070845e-02,   9.56713588e-02,   9.70153851e-02,\n",
       "           9.76845687e-02,   9.82721102e-02,   9.84695180e-02,\n",
       "           1.01296822e-01,   1.03157757e-01,   1.04001163e-01,\n",
       "           1.05576047e-01,   1.07151143e-01,   1.07256495e-01,\n",
       "           1.07881814e-01,   1.09081654e-01,   1.11988879e-01,\n",
       "           1.12881420e-01,   1.13020363e-01,   1.13534912e-01,\n",
       "           1.14047757e-01,   1.14340691e-01,   1.16757355e-01,\n",
       "           1.17448936e-01,   1.21316628e-01,   1.23952822e-01,\n",
       "           1.24246110e-01,   1.25651685e-01,   1.26589168e-01,\n",
       "           1.27233844e-01,   1.30345083e-01,   1.30649960e-01,\n",
       "           1.30714292e-01,   1.31710178e-01,   1.34213669e-01,\n",
       "           1.35778615e-01,   1.35842227e-01,   1.36992967e-01,\n",
       "           1.37348908e-01,   1.38585880e-01,   1.38707909e-01,\n",
       "           1.39236185e-01,   1.41329579e-01,   1.41464372e-01,\n",
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       "           1.51878282e+00,   1.51981791e+00,   1.52004093e+00,\n",
       "           1.52204519e+00,   1.52768381e+00,   1.53304796e+00,\n",
       "           1.55325083e+00,   1.55822670e+00,   1.56036958e+00,\n",
       "           1.56951599e+00,   1.57616455e+00,   1.57661549e+00,\n",
       "           1.58036549e+00,   1.58109436e+00,   1.60480652e+00,\n",
       "           1.61270593e+00,   1.61487322e+00,   1.61723124e+00,\n",
       "           1.62060729e+00,   1.62111610e+00,   1.62708261e+00,\n",
       "           1.62866291e+00,   1.63204582e+00,   1.63424484e+00,\n",
       "           1.65272967e+00,   1.65327747e+00,   1.65932249e+00,\n",
       "           1.67485198e+00,   1.67610958e+00,   1.67829071e+00,\n",
       "           1.68046668e+00,   1.68246390e+00,   1.68310047e+00,\n",
       "           1.68853200e+00,   1.69761794e+00,   1.69789677e+00,\n",
       "           1.70506464e+00,   1.70684172e+00,   1.71130398e+00,\n",
       "           1.71428386e+00,   1.72220228e+00,   1.72366188e+00,\n",
       "           1.73877801e+00,   1.74153484e+00,   1.74270432e+00,\n",
       "           1.74981353e+00,   1.75185018e+00,   1.76218950e+00,\n",
       "           1.77706216e+00,   1.77731104e+00,   1.77996720e+00,\n",
       "           1.78257219e+00,   1.78557547e+00,   1.79046876e+00,\n",
       "           1.79556078e+00,   1.79690405e+00,   1.80949220e+00,\n",
       "           1.80951474e+00,   1.81369423e+00,   1.81737973e+00,\n",
       "           1.82030331e+00,   1.82194057e+00,   1.82660771e+00,\n",
       "           1.83302073e+00,   1.83418526e+00,   1.83780615e+00,\n",
       "           1.84044160e+00,   1.84607843e+00,   1.84680768e+00,\n",
       "           1.85412340e+00,   1.85699422e+00,   1.86203155e+00,\n",
       "           1.86400248e+00,   1.88088214e+00,   1.89097627e+00,\n",
       "           1.89652839e+00,   1.89886552e+00,   1.92229103e+00,\n",
       "           1.92242847e+00,   1.92649323e+00,   1.92795876e+00,\n",
       "           1.92854559e+00,   1.93951130e+00,   1.95061431e+00,\n",
       "           1.95752341e+00,   1.96122824e+00,   1.97492304e+00,\n",
       "           1.98040054e+00,   1.99344402e+00,   2.00109462e+00,\n",
       "           2.02013170e+00,   2.02539147e+00,   2.02728122e+00,\n",
       "           2.03662034e+00,   2.04262299e+00,   2.04319098e+00,\n",
       "           2.05497121e+00,   2.07122881e+00,   2.07444000e+00,\n",
       "           2.08888361e+00,   2.09015045e+00,   2.11230256e+00,\n",
       "           2.12832958e+00,   2.13804002e+00,   2.14071969e+00,\n",
       "           2.14679456e+00,   2.14999174e+00,   2.16048633e+00,\n",
       "           2.16761907e+00,   2.17235990e+00,   2.17347792e+00,\n",
       "           2.17546030e+00,   2.19066204e+00,   2.19658339e+00,\n",
       "           2.19825376e+00,   2.20513014e+00,   2.22066796e+00,\n",
       "           2.22516653e+00,   2.23241425e+00,   2.23463349e+00,\n",
       "           2.24856135e+00,   2.25718618e+00,   2.29474931e+00,\n",
       "           2.31479869e+00,   2.31807405e+00,   2.34793095e+00,\n",
       "           2.36568002e+00,   2.40367143e+00,   2.43117505e+00,\n",
       "           2.44712821e+00,   2.44883491e+00,   2.48911761e+00,\n",
       "           2.51066577e+00,   2.54328528e+00,   2.54619765e+00,\n",
       "           2.54982413e+00,   2.56952755e+00,   2.58025182e+00,\n",
       "           2.58369890e+00,   2.60432024e+00,   2.60516520e+00,\n",
       "           2.62067164e+00,   2.63027943e+00,   2.64995229e+00,\n",
       "           2.65608224e+00,   2.66565626e+00,   2.69201857e+00,\n",
       "           2.70738672e+00,   2.71376272e+00,   2.72763477e+00,\n",
       "           2.72905907e+00,   2.74195015e+00,   2.74800230e+00,\n",
       "           2.78907328e+00,   2.79916402e+00,   2.81486687e+00,\n",
       "           2.82757644e+00,   2.84046497e+00,   2.85400035e+00,\n",
       "           2.85589499e+00,   2.87001430e+00,   2.92699201e+00,\n",
       "           2.95918294e+00,   2.99121057e+00,   2.99292419e+00,\n",
       "           3.02281258e+00,   3.02560671e+00,   3.03411602e+00,\n",
       "           3.06990794e+00,   3.11880958e+00,   3.14046068e+00,\n",
       "           3.15162974e+00,   3.15316557e+00,   3.16791938e+00,\n",
       "           3.17784747e+00,   3.20017700e+00,   3.25093110e+00,\n",
       "           3.25862888e+00,   3.26139146e+00,   3.26808764e+00,\n",
       "           3.28166485e+00,   3.28605215e+00,   3.30361960e+00,\n",
       "           3.35647798e+00,   3.43319298e+00,   3.44042388e+00,\n",
       "           3.48881540e+00,   3.51277652e+00,   3.52769467e+00,\n",
       "           3.61948654e+00,   3.62504034e+00,   3.62831004e+00,\n",
       "           3.63075745e+00,   3.70063375e+00,   3.73116249e+00,\n",
       "           3.78325672e+00,   3.81617298e+00,   3.89932798e+00,\n",
       "           4.17791688e+00,   4.39210775e+00,   4.44347289e+00,\n",
       "           4.91479588e+00,   4.99586077e+00,   5.11495409e+00,\n",
       "           6.14327418e+00,   6.27193357e+00,   6.77325589e+00,\n",
       "           7.51159178e+00])),\n",
       " (0.94953742859223533, -0.93644787859489398, 0.99791855223642378))"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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wGxvoRwc+523gHfesFsAyRK6zMowpsny5hLJmRoJ37cH5afSKqh5zH4a717Ns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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc1bf128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "scipy.stats.probplot(v,(1,),dist='expon',plot=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Note that we have to supply an axes object (`ax`) for it to draw on.\n",
    "The result is [Figure](#fig:Sampling_Monte_Carlo_005). The more the samples\n",
    "line match the diagonal line, the more they match the reference distribution\n",
    "(i.e., exponential distribution in this case). You may also want to try\n",
    "`dist=norm` in the code above To see what happens when the normal distribution\n",
    "is the reference distribution.\n",
    "\n",
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_005.png, width=500 frac=0.85] The samples created using the inverse cdf method match the exponential reference distribution. <div id=\"fig:Sampling_Monte_Carlo_005\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_005\"></div>\n",
    "\n",
    "<p>The samples created using the inverse cdf method match the exponential reference distribution.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_005.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "## Rejection Method\n",
    "\n",
    "In some cases, inverting the CDF may be impossible. The *rejection*\n",
    "method can handle this situation. The idea is to pick two uniform random\n",
    "variables $u_1,u_2 \\sim \\mathcal{U}[a,b]$ so that"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathbb{P}\\left(u_1 \\in N_{\\Delta}(x) \\bigwedge u_2 < \\frac{f(u_1)}{M} \\right) \\hspace{0.5em} \\approx \\frac{\\Delta x}{b-a} \\frac{f(u_1)}{M}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " where we take $x=u_1$ and $f(x) < M $.  This is a two-step process.\n",
    "First, draw $u_1$ uniformly from the interval $[a,b]$. Second,  feed it into\n",
    "$f(x)$ and if $u_2 < f(u_1)/M$, then you have a valid sample for $f(x)$. Thus,\n",
    "$u_1$ is the proposed sample from $f$ that may or may not be rejected depending\n",
    "on $u_2$. The only job of the $M$ constant is to scale down the $f(x)$ so that\n",
    "the $u_2$ variable can span the range.  The *efficiency* of this method is the\n",
    "probability of accepting $u_1$ which comes from integrating out the above\n",
    "approximation,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\int \\frac{f(x)}{M(b-a)} dx = \\frac{1}{M(b-a)} \\int f(x)dx =\\frac{1}{M(b-a)}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " This means that we don't want an unecessarily large $M$ because that\n",
    "makes it more likely that samples will be discarded. \n",
    "\n",
    "Let's try this method for a density that does not have a continuous inverse [^normalization]. \n",
    "\n",
    "[^normalization]: Note that this example density does not *exactly* integrate\n",
    "out to one like a probability density function should, but the normalization\n",
    "constant for this is distracting for our purposes here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "f(x) = \\exp\\left(-\\frac{(x-1)^2}{2x} \\right) (x+1)/12\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " where $x>0$. The following code implements the rejection plan."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "x = np.linspace(0.001,15,100)\n",
    "f= lambda x: np.exp(-(x-1)**2/2./x)*(x+1)/12.\n",
    "fx = f(x)\n",
    "M=0.3                          # scale factor\n",
    "u1 = np.random.rand(10000)*15  # uniform random samples scaled out\n",
    "u2 = np.random.rand(10000)     # uniform random samples\n",
    "idx,= np.where(u2<=f(u1)/M)    # rejection criterion\n",
    "v = u1[idx]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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4iwAfeB71E7/cSwngK0/3bg7gE2vttxn1YUREREQkeX6NAbTWLgAqJSqL8HnfF2dR18TH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\niIhkmP8H5d/ZFTAloTIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d436a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "fig.set_size_inches((9,5))\n",
    "_=ax.hist(v,normed=1,bins=40,alpha=.3,color='gray')\n",
    "_=ax.plot(x,fx,'k',lw=3.,label='$f(x)$')\n",
    "_=ax.set_title('Estimated Efficency=%3.1f%%'%(100*len(v)/len(u1)),\n",
    "             fontsize=18)\n",
    "_=ax.legend(fontsize=18)\n",
    "_=ax.set_xlabel('$x$',fontsize=24)\n",
    "fig.tight_layout()\n",
    "#fig.savefig('fig-probability/Sampling_Monte_Carlo_007.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " [Figure](#fig:Sampling_Monte_Carlo_007) shows a histogram of the\n",
    "so-generated samples that nicely fits the probability density function. The\n",
    "title in the figure shows the efficiency, which is poor. It means that we threw\n",
    "away most of the proposed samples.  Thus, even though there is nothing\n",
    "conceptually wrong with this result, the low efficiency must be fixed, as a\n",
    "practical matter.  [Figure](#fig:Sampling_Monte_Carlo_008) shows where the\n",
    "proposed samples were rejected. Samples under the curve were retained (i.e.,\n",
    "$u_2 < \\frac{f(u_1)}{M}$) but the vast majority of the samples are outside this\n",
    "umbrella.\n",
    "\n",
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_007.png, width=500 frac=0.75] The rejection method generate samples in the histogram that nicely match the target distribution. Unfortunately, the efficiency is not so good. <div id=\"fig:Sampling_Monte_Carlo_007\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_007\"></div>\n",
    "\n",
    "<p>The rejection method generate samples in the histogram that nicely match the target distribution. Unfortunately, the efficiency is not so good.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_007.png\" width=500>\n",
    "\n",
    "<!-- end figure -->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gnM1E4ugZDg8Pm9/44QX5rts2OXw8ORmhsig2HZ9fElHkT9i4RIGN9Mm/o3y2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888g0gkgkwmg8HBQWjag6wgcn3JZEubEmURIXPjkSNHEI/HORNJS0sLZySJxWJsVjSZTOju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\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6p07a4PX02/TCu0CiETI1NaUSAz9w4MBvJEmirRCi5zXUEo31+tZqteIb3/gGfD4fhBBs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\nBgwYMGDAgAEDXzL8f8CgZGflB6eqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d25a438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "fig.set_size_inches((9,5))\n",
    "_=ax.plot(u1,u2,'+',label='rejected',alpha=.3,color='gray')\n",
    "_=ax.plot(u1[idx],u2[idx],'.',label='accepted',alpha=.3,color='k')\n",
    "_=ax.legend(fontsize=22)\n",
    "fig.tight_layout()\n",
    "#fig.savefig('fig-probability/Sampling_Monte_Carlo_008.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_008.png, width=500 frac=0.75] The proposed samples under the curve were accepted and the others were not. This shows the majority of samples were rejected.  <div id=\"fig:Sampling_Monte_Carlo_008\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_008\"></div>\n",
    "\n",
    "<p>The proposed samples under the curve were accepted and the others were not. This shows the majority of samples were rejected.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_008.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "The rejection method uses $u_1$ to select along the domain of $f(x)$ and the\n",
    "other $u_2$ uniform random variable  decides whether to accept or not. One idea\n",
    "would be to choose $u_1$ so that $x$ values are coincidentally those that are\n",
    "near the peak of $f(x)$, instead of uniformly anywhere in the domain,\n",
    "especially near the tails, which are low probability anyway. Now, the trick is\n",
    "to find a new density function $g(x)$ to sample from that has a similiar\n",
    "concentration of probability density. One way it to familiarize oneself with\n",
    "the probability density functions that have adjustable parameters and fast random\n",
    "sample generators already. There are lots of places to look and, chances are,\n",
    "there is likely already such a generator for your problem. Otherwise, the\n",
    "family of $\\beta$ densities is a good place to start. \n",
    "\n",
    "To be explicit, what we want is $u_1 \\sim g(x)$ so that, returning to our\n",
    "earlier argument,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathbb{P}\\left( u_1 \\in N_{\\Delta}(x) \\bigwedge u_2 < \\frac{f(u_1)}{M} \\right) \\approx g(x) \\Delta x \\frac{f(u_1)}{M}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " but this is *not* what we need here. The problem is with the\n",
    "second part of the logical $\\bigwedge$ conjunction. We need to put\n",
    "something there that will give us something proportional to $f(x)$.\n",
    "Let us  define the following,"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- Equation labels as ordinary links -->\n",
    "<div id=\"eq:rej01\"></div>\n",
    "\n",
    "$$\n",
    "\\begin{equation}\n",
    " h(x) = \\frac{f(x)}{g(x)} \n",
    "\\end{equation}\n",
    "\\label{eq:rej01} \\tag{2}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " with corresponding maximum on the domain as $h_{\\max}$ and\n",
    "then go back and construct the second part of the clause as"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathbb{P}\\left(u_1 \\in N_{\\Delta}(x) \\bigwedge u_2 < \\frac{h(u_1)}{h_{\\max}} \\right) \\approx g(x) \\Delta x \\frac{h(u_1)}{h_{\\max}} = f(x)/h_{\\max}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Recall that satisfying this criterion means that $u_1=x$. As before,\n",
    "we can estimate the probability of acceptance of the $u_1$ as $1/h_{\\max}$.\n",
    "\n",
    "Now, how to construct the $g(x)$ function in the denominator of Equation\n",
    "ref{eq:rej01}? Here's where familarity with some standard probability densities\n",
    "pays off. For this case, we choose the chi-squared distribution. The following\n",
    "plots the $g(x)$ and $f(x)$ (left plot) and the corresponding $h(x)=f(x)/g(x)$\n",
    "(right plot). Note that $g(x)$ and $f(x)$ have peaks that almost coincide,\n",
    "which is what we are looking for."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ch=scipy.stats.chi2(4) # chi-squared\n",
    "h = lambda x: f(x)/ch.pdf(x) # h-function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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WxtChQ53aPzk5mTlz5nD48OEC62vXrl3k/pmZmfzyyy906tSJwMDAAtvGjRtHYmIiQ4cO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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d67b4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,axs=subplots(1,2,sharex=True)\n",
    "fig.set_size_inches(12,4)\n",
    "_=axs[0].plot(x,fx,label='$f(x)$',color='k')\n",
    "_=axs[0].plot(x,ch.pdf(x),'--',lw=2,label='$g(x)$',color='gray')\n",
    "_=axs[0].legend(loc=0,fontsize=24)\n",
    "_=axs[0].set_xlabel(r'$x$',fontsize=22)\n",
    "_=axs[1].plot(x,h(x),'-k',lw=3)\n",
    "_=axs[1].set_title('$h(x)=f(x)/g(x)$',fontsize=24)\n",
    "_=axs[1].set_xlabel(r'$x$',fontsize=22)\n",
    "fig.tight_layout()\n",
    "#fig.savefig('fig-probability/Sampling_Monte_Carlo_009.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_009.png, width=500 frac=0.95] The plot on the right shows $h(x)=f(x)/g(x)$ and the one on the left shows $f(x)$ and $g(x)$ separately. <div id=\"fig:Sampling_Monte_Carlo_009\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_009\"></div>\n",
    "\n",
    "<p>The plot on the right shows $h(x)=f(x)/g(x)$ and the one on the left shows $f(x)$ and $g(x)$ separately.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_009.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    " Now, let's generate  some samples from this $\\chi^2$\n",
    "distribution with the rejection method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "hmax=h(x).max()\n",
    "u1 = ch.rvs(5000)        # samples from chi-square distribution\n",
    "u2 = np.random.rand(5000)# uniform random samples\n",
    "idx = (u2 <= h(u1)/hmax) # rejection criterion\n",
    "v = u1[idx]              # keep these only"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lHiUvEekoIn+IyJ8iMiyL7bVEZJ2IXBSR53Ny7LXSmpfvCgsLY+XKlVYN7Ny5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\nKeVzNHkppZTyOf8PzFhYcWo6dKYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1eed0e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "fig.set_size_inches((7,3))\n",
    "_=ax.hist(v,normed=1,bins=40,alpha=.3,color='gray')\n",
    "_=ax.plot(x,fx,color='k',lw=3.,label='$f(x)$')\n",
    "_=ax.set_title('Estimated Efficency=%3.1f%%'%(100*len(v)/len(u1)))\n",
    "_=ax.axis(xmax=15)\n",
    "_=ax.legend(fontsize=18)\n",
    "#fig.savefig('fig-probability/Sampling_Monte_Carlo_010.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_010.png, width=500 frac=0.85]  Using the updated method, the histogram matches the target probability density function with high efficiency. <div id=\"fig:Sampling_Monte_Carlo_010\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_010\"></div>\n",
    "\n",
    "<p>Using the updated method, the histogram matches the target probability density function with high efficiency.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_010.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "Using the $\\chi^2$ distribution with the rejection method results in throwing\n",
    "away less than 10% of the generated samples compared with our prior example\n",
    "where we threw out at least 80%. This is dramatically more\n",
    "efficient.  [Figure](#fig:Sampling_Monte_Carlo_010) shows that the histogram\n",
    "and the probability density function match.  For completeness, [Figure](#fig:Sampling_Monte_Carlo_011) shows the samples with the corresponding\n",
    "threshold $h(x)/h_{\\max}$ that was used to select them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4IZiI+VJH5gsCV/vcg1U7C0Zoo5G7wEhZGOrfByPcQJeLOtZBpL2N1m8gzmf+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i6OI0eOcPnyZTweDzExMTQ3N7Ns2TKWL19OX18f/f39FBQUMDw8zNGjR+1gnJ6ebp1pVqxY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\ncEVRFEUJQ1SBK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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dc71278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "fig.set_size_inches((7,4))\n",
    "_=ax.plot(u1,u2,'+',label='rejected',alpha=.3,color='gray')\n",
    "_=ax.plot(u1[idx],u2[idx],'g.',label='accepted',alpha=.3,color='k')\n",
    "_=ax.plot(x,h(x)/hmax,color='k',lw=3.,label='$h(x)$')\n",
    "_=ax.legend(fontsize=16,loc=0) \n",
    "_=ax.set_xlabel('$x$',fontsize=24)\n",
    "_=ax.set_xlabel('$h(x)$',fontsize=24)\n",
    "_=ax.axis(xmax=15,ymax=1.1)\n",
    "fig.tight_layout()\n",
    "#fig.savefig('fig-probability/Sampling_Monte_Carlo_011.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_011.png, width=500 frac=0.95]  Fewer proposed points were rejected in this case, which means better efficiency. <div id=\"fig:Sampling_Monte_Carlo_011\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_011\"></div>\n",
    "\n",
    "<p>Fewer proposed points were rejected in this case, which means better efficiency.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_011.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "In this section, we investigated how to generate random samples from a given\n",
    "distribution, beit discrete or continuous. For the continuous case, the key\n",
    "issue was whether or not the cumulative density function had a continuous\n",
    "inverse. If not, we had to turn to the rejection method, and find an\n",
    "appropriate related density that we could easily sample from to use as part of\n",
    "a rejection threshold. Finding such a function is an art, but many families of\n",
    "probability densities have been studied over the years that already have fast\n",
    "random number generators.\n",
    "\n",
    "The rejection method has many complicated extensions that involve careful\n",
    "partitioning of the domains and lots of special methods for corner cases.\n",
    "Nonetheless, all of these advanced techniques are still variations on the same\n",
    "fundamental theme we illustrated here [[dunn2011exploring]](#dunn2011exploring),[[johnson1995continuous]](#johnson1995continuous)."
   ]
  }
 ],
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   "language": "python",
   "name": "python2"
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